The quantities \(s_{X,0}\) , \(s_{X,1}\)  and \(\phi _X\)  can be calculated using Eq. (1) to (5) from [1]}. In that paper, there are correction terms due to finite statistical fluctuations appearing in the quantities \(n^{\pm }_{X(Z),k}\)  and \(m^{\pm }_{Z,k}\) , which we define below in Eq. (REF ). In [1]} the correction terms are calculated using the Hoeffding bound [3]} but it is possible to improve them using a modified version of the Chernoff bound [4]}, [5]} as described in [6]}. For the current analysis we use
\(n^{\pm }_{X(Z),k}&=\frac{e^k}{p_k}\left[n_{X(Z),k}\pm \delta ^{\pm }_{n_{X(Z),k}} \right],\\m^{\pm }_{X(Z),k}&=\frac{e^k}{p_k}\left[m_{X(Z),k}\pm \delta ^{\pm }_{m_{X(Z),k}} \right],\) 
